Solve 10^-62000^3-3*10x^-3*2000^2+2000*36+2000

$${ 10 }^{ -6 } { 2000 }^{ 3 } -3 \cdot 10 { x }^{ -3 } \times { 2000 }^{ 2 } +2000 \cdot 36+2000$$

Evaluate

$$82000-\frac{120000000}{x^{3}}$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{1}{1000000}\times 2000^{3}-3\times 10x^{-3}\times 2000^{2}+2000\times 36+2000$$

Calculate 2000 to the power of 3 and get 8000000000.

$$\frac{1}{1000000}\times 8000000000-3\times 10x^{-3}\times 2000^{2}+2000\times 36+2000$$

Multiply \frac{1}{1000000} and 8000000000 to get 8000.

$$8000-3\times 10x^{-3}\times 2000^{2}+2000\times 36+2000$$

Multiply 3 and 10 to get 30.

$$8000-30x^{-3}\times 2000^{2}+2000\times 36+2000$$

Calculate 2000 to the power of 2 and get 4000000.

$$8000-30x^{-3}\times 4000000+2000\times 36+2000$$

Multiply 30 and 4000000 to get 120000000.

$$8000-120000000x^{-3}+2000\times 36+2000$$

Multiply 2000 and 36 to get 72000.

$$8000-120000000x^{-3}+72000+2000$$

Add 8000 and 72000 to get 80000.

$$80000-120000000x^{-3}+2000$$

Add 80000 and 2000 to get 82000.

$$82000-120000000x^{-3}$$

Factor

$$\frac{2000\left(41x^{3}-60000\right)}{x^{3}}$$